时滞神经网络的有限时间容错投影同步控制  

Finite-time Fault-tolerant Projective Synchronization Control of Neural Networks with Time-varying Delay

作　　者：张悦娇 霍丽芳[2] 路云 ZHANG Yue-jiao;HUO Li-fang;LU Yun(Department of Foundational Courses,Tianjin College,Beijing University of Science and Technology,Tianjin 301830,China;Department of Mathematics and physics,Hebei Institute of Architecture and Engineering,Zhangjiakou,Hebei 075000,China)

机构地区：[1]北京科技大学天津学院基础部,天津301830 [2]河北建筑工程学院数理系,河北张家口075000

出　　处：《河北北方学院学报（自然科学版）》2023年第3期1-5,9,共6页Journal of Hebei North University:Natural Science Edition

基　　金：北京科技大学天津学院校级项目(TYJY2021020)。

摘　　要：目的针对具有时变时滞的驱动—响应神经网络系统,考虑出现执行器故障问题,对其投影同步误差系统的有限时间同步控制问题展开探究。方法设计自适应容错控制器以及控制器增益的更新率,确保对同步误差系统进行实时控制,得到有限时间同步的一个充分条件。结果采用真实的仿真算例,证明了容错策略是有效可行的,能够保证误差系统在有限时间内达到平衡点。结论结合有限时间投影同步理论和李雅普诺夫函数性质,最终得到投影同步误差系统收敛的一个过渡时间,并且给出了相关的推论。Objective For the drive-response neural network system with time-varying delay,considering the actuator failure,the finite-time synchronization control problem of the projective synchronization error system is explored.Methods The adaptive fault-tolerant controller and the update rate of controller gain are designed to ensure the real-time control of the synchronization error system,thus a sufficient condition for finite time synchronization is obtained.Results A real simulation example shows that the fault-tolerant strategy is effective and feasible,which can ensure the error system to reach the equilibrium point in a limited time.Conclusion Combining the finite-time projective synchronization theory and the properties of Lyapunov function,a transition time for the convergence of projective synchronization error system is obtained,and the relevant corollaries are given.

关 键 词：驱动—响应神经网络 有限时间投影同步 时变时滞 容错控制 

分 类 号：O175.1[理学—数学]